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Finding the Fourth Proportional to 214,512.35, 296,070.12 and 123,883.07

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Solution

The fourth proportional to 214,512.35, 296,070.12 and 123,883.07 is: 170,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512.35 : 296,070.12 = 123,883.07 : x
  2. Step 2: Convert to fraction form
    214,512.35/296,070.12 = 123,883.07/x
  3. Step 3: Cross multiply
    214,512.35x = 296,070.12 × 123,883.07
  4. Step 4: Simplify right side
    214,512.35x = 36,678,073,920.52
  5. Step 5: Solve for x
    x = 36,678,073,920.52/214,512.35
  6. Step 6: Final answer
    x = 170,983.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.